Modelling deadlock in open restricted queueing networks

Palmer, Geraint I. ORCID: https://orcid.org/0000-0001-7865-6964, Harper, Paul R. ORCID: https://orcid.org/0000-0001-7894-4907 and Knight, Vincent A. ORCID: https://orcid.org/0000-0002-4245-0638 2018. Modelling deadlock in open restricted queueing networks. European Journal of Operational Research 266 (2) , pp. 609-621. 10.1016/j.ejor.2017.10.039

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Abstract

Open restricted queueing networks give rise to the phenomenon of deadlock, whereby some customers may be unable to ever leave a server due to mutual blocking. This paper explores deadlock in queueing networks with limited queueing capacity, presents a method of detecting deadlock in discrete event simulations, and builds Markov chain models of these deadlocking networks. The three networks for which Markov models are given include single and multi-server networks for one and two node systems. The expected times to deadlock of these models are compared to results obtained using a simulation of the stochastic process, together with the developed deadlock detection method. This paper aims to be of value to simulation modellers of queues.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Additional Information:	This is an open access article under the CC BY license. ( http://creativecommons.org/licenses/by/4.0/ )
Publisher:	Elsevier
ISSN:	0377-2217
Date of First Compliant Deposit:	9 November 2017
Date of Acceptance:	16 October 2017
Last Modified:	12 May 2023 05:02
URI:	https://orca.cardiff.ac.uk/id/eprint/106314

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